Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 30 Aug 2016, 14:29

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# I encountered this on the powerprep. If set S consists of

Author Message
TAGS:

### Hide Tags

Intern
Joined: 11 Oct 2009
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 0

I encountered this on the powerprep. If set S consists of [#permalink]

### Show Tags

04 Apr 2010, 12:46
00:00

Difficulty:

(N/A)

Question Stats:

40% (03:24) correct 60% (00:22) wrong based on 5 sessions

### HideShow timer Statistics

I encountered this on the powerprep.

If set S consists of the numbers 1,5,-2,8 and n, is 0 < n < 7?

(1) The median of the numbers in S is less than 5
(2) The median of the numbers in S is greater than 5

The software says the correct answer is C. I thought it would be A. I can't figure out why we need (2) to determine the answer.

Thanks,
arl
Senior Manager
Joined: 01 Feb 2010
Posts: 267
Followers: 1

Kudos [?]: 53 [0], given: 2

### Show Tags

04 Apr 2010, 21:39
arlgmat wrote:
I encountered this on the powerprep.

If set S consists of the numbers 1,5,-2,8 and n, is 0 < n < 7?

(1) The median of the numbers in S is less than 5
(2) The median of the numbers in S is greater than 5

The software says the correct answer is C. I thought it would be A. I can't figure out why we need (2) to determine the answer.

Thanks,
arl

n can be 1,2,3,4,5,6
1: Not enough if median is less than 5, then n can be any value less than 5 so n<5 even negative so the condition 0<n<7 is not hold fully.
2: Not enough if median is more than 5, then n can be any value more than 5 so n>5 even more than 7.
I dont think you the choices can be combined.
Manager
Joined: 20 Mar 2010
Posts: 84
Followers: 2

Kudos [?]: 85 [0], given: 1

### Show Tags

04 Apr 2010, 23:40
arlgmat wrote:
I encountered this on the powerprep.

If set S consists of the numbers 1,5,-2,8 and n, is 0 < n < 7?

(1) The median of the numbers in S is less than 5
(2) The median of the numbers in S is greater than 5

The software says the correct answer is C. I thought it would be A. I can't figure out why we need (2) to determine the answer.

Thanks,
arl

stmt 2 doesn't sound right. Are you sure it's accurate.
If the series is 1,5,2,-8,n whatever n value might be median can't be greater than 5.
Since there are 5 elements the 3rd element in the ascending order should be the median.

If n <1 median =1
If 1<n<5 median =n
If n>5 median =5
_________________

___________________________________
Please give me kudos if you like my post

Manager
Joined: 24 Mar 2010
Posts: 104
Followers: 1

Kudos [?]: 30 [0], given: 12

### Show Tags

05 Apr 2010, 08:52
Yeah, its a bug. How can the median simultaneously be > and < 5?
_________________

Please do consider giving kudos if you like my posts

Manager
Joined: 10 Aug 2009
Posts: 123
Followers: 3

Kudos [?]: 16 [0], given: 13

### Show Tags

05 Apr 2010, 08:58
The second statement doesn't make sense... the median cant be greater than 5
Intern
Joined: 13 Oct 2010
Posts: 20
Followers: 0

Kudos [?]: 14 [0], given: 0

Median- Data Sufficiency- Gmat Prep [#permalink]

### Show Tags

17 Dec 2010, 10:47
Could anyone please provide a solution for this question?
Thanks.

OA:C
Attachments

Median DS- Gmatprep.jpg [ 71.07 KiB | Viewed 1405 times ]

Math Expert
Joined: 02 Sep 2009
Posts: 34511
Followers: 6303

Kudos [?]: 79973 [1] , given: 10022

Re: Median- Data Sufficiency- Gmat Prep [#permalink]

### Show Tags

17 Dec 2010, 11:09
1
KUDOS
Expert's post
helloanupam wrote:
Can someone please give an explanation for this question?
Thanks.

Firs of all statement (2) should read: The median of the numbers in S is greater than 1.

If set S consists of the numbers 1, 5,-2, 8 and n, is 0 < n < 7?

Note that:
If a set has odd number of terms the median of a set is the middle number when arranged in ascending or descending order;
If a set has even number of terms the median of a set is the average of the two middle terms when arranged in ascending or descending order.

So the median of our set of 5 numbers: {-2, 1, 5, 8, n} must be the middle number, so it can be:
1 if $$n\leq{1}$$;
5 if $$n\geq{5}$$;
$$n$$ itself if $$1\leq{n}\leq{5}$$.

(1) The median of the numbers in S is less than 5 --> so either the median=1 and in this case $$n\leq{1}$$ so not necessarily in the range $$0<n<7$$ or median=n and in this case $$1\leq{n}<{5}$$ and in this case $$0<n<7$$ is always true. Not sufficient.

(2) The median of the numbers in S is greater than 1 --> again either the median=5 and in this case $$n\geq{5}$$ so not necessarily in the range $$0<n<7$$ or median=n and in this case $$1<{n}\leq{5}$$ and in this case $$0<n<7$$ is always true. Not sufficient.

(1)+(2) $$1<median<5$$ --> $$median=n$$ --> $$1<n<5$$, so $$0<n<7$$ is true. Sufficient.

_________________
Intern
Joined: 13 Oct 2010
Posts: 20
Followers: 0

Kudos [?]: 14 [0], given: 0

### Show Tags

17 Dec 2010, 12:22
Thankyou Bunuel. Super fast and super clear explanation.
Re: Numbers problem   [#permalink] 17 Dec 2010, 12:22
Similar topics Replies Last post
Similar
Topics:
14 Set A consists of five different numbers; set B consists of 3 12 Jul 2013, 09:08
23 A set of nonnegative integers consists of 11 09 Oct 2012, 08:33
7 Set X consists of 9 positive elements. Set Y consists of the 9 10 Mar 2009, 21:30
11 Set S consists of 5 consecutive integers, and set T consists 5 04 Nov 2006, 04:25
11 Set X consists of 9 positive elements. Set Y consists of the 23 19 Sep 2006, 13:49
Display posts from previous: Sort by